Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

数学季刊 ›› 1998, Vol. 13 ›› Issue (3): 52-58.

Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,710072,; Department of Mathematics,Henan University,Kaifeng 475001

收稿日期:1997-07-16 出版日期:1998-09-30 发布日期:2024-10-23
基金资助:
This work was supported by Hangkong Gaodeng Yuanxiao Zixuan Keyan Keti at Northwestern Polytechnical University．

Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,710072,; Department of Mathematics,Henan University,Kaifeng 475001

Received:1997-07-16 Online:1998-09-30 Published:2024-10-23
Supported by:
This work was supported by Hangkong Gaodeng Yuanxiao Zixuan Keyan Keti at Northwestern Polytechnical University．

摘要/Abstract

摘要： We consider the semilinear subelliptic Laplace equation -Δ Hn u=u p+f(x,u) in Ω,u>0 in Ω,u=0 on Ω . Under suitable assumptions on f and p ,some existence and nonexistence results are obtained.

关键词: , subelliptic Laplacian, existence, exponent

Abstract: We consider the semilinear subelliptic Laplace equation -Δ Hn u=u p+f(x,u) in Ω,u>0 in Ω,u=0 on Ω . Under suitable assumptions on f and p ,some existence and nonexistence results are obtained.

Key words: , subelliptic Laplacian, existence, exponent

中图分类号:

O152

钮鹏程, 张吉慧, 文成林. Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group[J]. 数学季刊, 1998, 13(3): 52-58.

Niu Pengcheng Zhang Jihui, Wen Chenglin . Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(3): 52-58.

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Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group

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